The descriptive complexity of approximation properties in an admissible topology
Publication Type
Original research
Authors

In this note we show that the set of all separable Banach spaces that have the $\pi-$property and the set of all separable Banach spaces that have the (BAP) are Borel set of class 6 whenever $\mathcal{F}(C(\Delta))$ is equipped with an admissible topology.

Journal
Title
Fundamenta Mathematicae
Publisher
Institute of Mathematics of the Polish Academy of Sciences (IMPAN)
Publisher Country
Poland
Indexing
Thomson Reuters
Impact Factor
0.584
Publication Type
Both (Printed and Online)
Volume
249
Year
2020
Pages
303-309